C_2 cofiniteness of vertex operator algebra V_L^+ when L is a rank one lattice

Abstract

Let L be a rank one positive definite even lattice. We prove that a vertex operator algebra (VOA) V_L^+ satisfies the C_2 condition. Here, V_L^+ is a fixed point sub-VOA of the VOA V_L associated with the automorphism lifted from the -1 isometry of L.

26 pages

References in corpus (2)

• Modular invariance of trace functions in orbifold theory
• Framed vertex operator algebras, codes and the moonshine module

Cited by in corpus (5)

• C_2-cofiniteness of cyclic-orbifold models
• A theory of tensor products for vertex operator algebra satsifying C_2-cofiniteness
• C_2-cofiniteness of the 2-cycle permutation orbifold models of minimal Virasoro vertex operator algebras
• The irreducible weak modules for the fixed point subalgebra of the vertex algebra associated to a non-degenerate even lattice by an automorphism of order $2$ (Part $1$)
• 2-permutations of lattice vertex operator algebras: Higher rank